Give the domain and range of the relation.
-$$y = x ^ { 2 } + 8$$
A) domain: $( - \infty , \infty )$; range: $[ 8 , \infty )$
B) domain: $( 8 , \infty )$; range: $( - \infty , \infty )$
C) domain: $( - \infty , \infty )$; range: $( - 8 , \infty )$
D) domain: $( - 8 , \infty )$; range: $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The domain of $y = x^2 + 8$ is all real numbers $( - \infty , \infty )$ because there are no restrictions on the values that $x$ can take. The range is $[8, \infty)$ because the minimum value of $y$ occurs when $x = 0$, yielding $y = 8$, and $y$ increases without bound as $x$ moves away from 0 in either direction.

Give the Domain and Range of the Relation y=x2+8y = x ^ { 2 } + 8y=x2+8

Give the Domain and Range of the Relation $y = x ^ { 2 } + 8$